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Finding the Fourth Proportional to 200,754.42, 277,040.70 and 115,871.46

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Solution

The fourth proportional to 200,754.42, 277,040.70 and 115,871.46 is: 159,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.42 : 277,040.70 = 115,871.46 : x
  2. Step 2: Convert to fraction form
    200,754.42/277,040.70 = 115,871.46/x
  3. Step 3: Cross multiply
    200,754.42x = 277,040.70 × 115,871.46
  4. Step 4: Simplify right side
    200,754.42x = 32,101,110,388.42
  5. Step 5: Solve for x
    x = 32,101,110,388.42/200,754.42
  6. Step 6: Final answer
    x = 159,902.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.